Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
From MaRDI portal
Publication:382426
DOI10.1007/s11511-013-0100-3zbMath1292.55007arXiv1203.6479OpenAlexW2593335421MaRDI QIDQ382426
Publication date: 19 November 2013
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.6479
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35)
Related Items (29)
Fusion systems with Benson-Solomon components ⋮ Centric linking systems of locally finite groups ⋮ Existence, Uniqueness and Functoriality of the Perfect Locality over a Frobenius P-Category ⋮ Normalizers of chains of discrete \(p\)-toral subgroups in compact Lie groups ⋮ A note on Oliver's \(p\)-group conjecture ⋮ Some products in fusion systems and localities ⋮ Higher limits over the fusion orbit category ⋮ On local categories of finite groups. ⋮ A completion theorem for fusion systems ⋮ Fusion systems with some sporadic \(J\)-components ⋮ Kernels of localities ⋮ Symmetric groups and fixed points on modules: An application of group theory to topology ⋮ Vector bundles over classifying spaces of p‐local finite groups and Benson–Carlson duality ⋮ Realizability and tameness of fusion systems ⋮ Punctured groups for exotic fusion systems ⋮ Control of fixed points over discrete \(p\)-toral groups, and existence and uniqueness of linking systems ⋮ Saturated fusion systems as idempotents in the double Burnside ring. ⋮ Reductions to simple fusion systems ⋮ Mislin’s theorem for fusion systems through Mackey functors ⋮ Centers of Sylow subgroups and automorphisms ⋮ Subcentric linking systems ⋮ Existence and uniqueness of classifying spaces for fusion systems over discretep-toral groups ⋮ Control of fixed points and existence and uniqueness of centric linking systems ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups ⋮ Fusion systems ⋮ Stratification and duality for homotopical groups ⋮ Fusion systems and localities -- a dictionary ⋮ Rigid automorphisms of linking systems ⋮ Extensions of homomorphisms between localities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fusion systems and localities.
- The general FF-module theorem.
- Weights for symmetric and general linear groups
- Discrete models for the \(p\)-local homotopy theory of compact Lie groups and \(p\)-compact groups
- Homotopy decomposition of classifying spaces via elementary Abelian subgroups
- Homotopy classification of self-maps of \(BG\) via \(G\)-actions. I
- Homotopy equivalences of \(p\)-completed classifying spaces of finite groups
- Frobenius categories.
- Reduced, tame and exotic fusion systems
- The local structure of finite groups of characteristic 2 type
- Quadratic action and the 𝒫(G, V)-theorem in arbitrary characteristic
- The homotopy theory of fusion systems
- Equivalences of classifying spaces completed at odd primes
- Equivalences of classifying spaces completed at the prime two
This page was built for publication: Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
